{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 516,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.special import hankel1,jn\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import math\n",
    "pi=math.pi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 517,
   "metadata": {},
   "outputs": [],
   "source": [
    "k=20 #波数\n",
    "N=5 #一个波长内的网格数:5,10,15,20\n",
    "M=int(k*N*0.05) #单元网格数\n",
    "seta=np.linspace(0,2*pi,61)#观察点的角度\n",
    "ya=0.1*pi/(k*N*0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 518,
   "metadata": {},
   "outputs": [],
   "source": [
    "#坐标转换\n",
    "def switch(r,seta,k):#k为坐标个数\n",
    "    x_zb=np.zeros(k)\n",
    "    y_zb=np.zeros(k)\n",
    "    for i in range(k):\n",
    "        x_zb[i]=r*math.cos(seta[i])\n",
    "        y_zb[i]=r*math.sin(seta[i])\n",
    "    return x_zb,y_zb\n",
    "#单元网格化\n",
    "def net(k):\n",
    "    seta=np.linspace(0,2*pi,k+1) \n",
    "    jd_s=seta\n",
    "    zx_s=np.zeros(k)\n",
    "    for i in range(k):\n",
    "        zx_s[i]=(seta[i]+seta[i+1])/2  \n",
    "    xl=np.zeros((k,2))\n",
    "    for i in range(k):\n",
    "        xl[i,0]=math.cos(zx_s[i])\n",
    "        xl[i,1]=math.sin(zx_s[i])\n",
    "    return jd_s,zx_s,xl\n",
    "a,b,c=net(M)#a为节点b为中心点弧度、c为单位法向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 519,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.gca(projection='polar')\n",
    "for i in range(61):\n",
    "    plt.scatter(seta[i],12.8)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 520,
   "metadata": {},
   "outputs": [],
   "source": [
    "#0阶hankel函数\n",
    "def G_0(M,k):#o是带入点弧度  m是网格数，k是波数，b为中心点弧度\n",
    "    r_y=0.1\n",
    "    r_x=0.05\n",
    "    a,b,c=net(M)\n",
    "    x_z,y_z=switch(r_x,b,M)#中心点坐标\n",
    "    g0=np.zeros(M,dtype=complex)  \n",
    "    for i in range(M):\n",
    "        r=math.sqrt((x_z[i]-r_y)**2+(y_z[i])**2)\n",
    "        g0[i]=0.25j*hankel1(0,k*r)\n",
    "    return g0         \n",
    "S=G_0(M,k)#G0（Zm,y） "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 521,
   "metadata": {},
   "outputs": [],
   "source": [
    "#自由空间格林函数\n",
    "def G0(k,m=61,b=seta):#选择带入点弧度o\n",
    "    r_y=0.1\n",
    "    r_x=12.8\n",
    "    g0=np.zeros(m,dtype=complex)\n",
    "    for i in range(m):\n",
    "        gt=0\n",
    "        for n in range(-30,30):\n",
    "            gt=gt+0.25j*(math.cos(n*b[i]))*hankel1(n,k*r_x)*jn(n,k*r_y)\n",
    "        g0[i]=gt\n",
    "    return g0         \n",
    "W=G0(k) #G0（x,y）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 522,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Gs(m,k,r_x=12.8,b=seta):#选择带入点弧度o\n",
    "    r_y=0.1\n",
    "    g0=np.zeros(m,dtype=complex)\n",
    "    for i in range(m):        \n",
    "        for n in range(-20,20):\n",
    "            arf=-(jn(n-1,k*0.05)-jn(n+1,k*0.05))/(hankel1(n-1,k*0.05)-hankel1(n+1,k*0.05))\n",
    "            g0[i]=g0[i]+0.25j*arf*math.cos(n*b[i])*hankel1(n,k*r_x)*hankel1(n,k*r_y)\n",
    "    return g0\n",
    "T=Gs(61,k)\n",
    "Ga=np.zeros(61,dtype=complex)\n",
    "Ga=abs(W+T)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 523,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.5       +0.j         0.11863223+0.06256324j 0.0706767 +0.15744864j\n",
      "  0.0706767 +0.15744864j 0.11863223+0.06256324j]\n",
      " [0.11863223+0.06256324j 0.5       +0.j         0.11863223+0.06256324j\n",
      "  0.0706767 +0.15744864j 0.0706767 +0.15744864j]\n",
      " [0.0706767 +0.15744864j 0.11863223+0.06256324j 0.5       +0.j\n",
      "  0.11863223+0.06256324j 0.0706767 +0.15744864j]\n",
      " [0.0706767 +0.15744864j 0.0706767 +0.15744864j 0.11863223+0.06256324j\n",
      "  0.5       +0.j         0.11863223+0.06256324j]\n",
      " [0.11863223+0.06256324j 0.0706767 +0.15744864j 0.0706767 +0.15744864j\n",
      "  0.11863223+0.06256324j 0.5       +0.j        ]]\n"
     ]
    }
   ],
   "source": [
    "#四点高斯积分、计算A矩阵\n",
    "def jifen(M,k):\n",
    "    r=0.05\n",
    "    a,b,c=net(M)\n",
    "    T=[-0.8611363,0.8611363,-0.3399810,0.3399810]\n",
    "    Ak=[0.3478549,0.3478549,0.6521452,0.6521452]\n",
    "    A=np.zeros((M,M),dtype=complex)\n",
    "    X=np.zeros(4)#Xi\n",
    "    Y=np.zeros(4)#Yi\n",
    "    R=np.zeros((4,2))#节点到中心点的向量\n",
    "    P=np.zeros(4)#向量的模\n",
    "    x_j,y_j=switch(r,a,M+1)#节点坐标\n",
    "    x_z,y_z=switch(r,b,M)#中心点坐标\n",
    "    for m in range(M):\n",
    "        for n in range(M):\n",
    "            if m==n:\n",
    "                A[m][n]=0.5\n",
    "            else:\n",
    "                for i in range(4):\n",
    "                    X[i]=x_j[n]+(x_j[n+1]-x_j[n])*(T[i]+1)/2\n",
    "                    Y[i]=y_j[n]+(y_j[n+1]-y_j[n])*(T[i]+1)/2\n",
    "                    R[i][0]=X[i]-x_z[m]\n",
    "                    R[i][1]=Y[i]-y_z[m]\n",
    "                    P[i]=math.sqrt(R[i][0]**2+R[i][1]**2)\n",
    "                    A[m][n]=A[m][n]+Ak[i]*0.25j*k*hankel1(1,k*P[i])*(R[i][0]*c[n][0]+R[i][1]*c[n][1])*(0.5*math.sqrt((x_j[n+1]-x_j[n])**2+(y_j[n+1]-y_j[n])**2))/P[i]\n",
    "    return A\n",
    "A=jifen(M,k)\n",
    "print(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 524,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.10703658+0.29735754j -0.10382149-0.035338j    0.06953198-0.10392938j\n",
      " -0.10382149-0.035338j   -0.10703658+0.29735754j]\n"
     ]
    }
   ],
   "source": [
    "#解线性方程组\n",
    "def dianc(A,S):\n",
    "    m,n=A.shape\n",
    "    q=np.zeros(m,dtype=complex)\n",
    "    for i in range(m):\n",
    "        for j in range(n):\n",
    "            q[i]=q[i]+A[i][j]*S[j]\n",
    "    return q\n",
    "A=np.linalg.inv(A)\n",
    "G=dianc(A,S)\n",
    "print(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 525,
   "metadata": {},
   "outputs": [],
   "source": [
    "#积分计算Gx（x,y）\n",
    "def Jf(m,k,s=seta,g=G,y=ya):\n",
    "    W=G0(k)\n",
    "    a,b,c=net(M)\n",
    "    x_z,y_z=switch(0.05,b,m)#中点坐标\n",
    "    x_g,y_g=switch(12.8,s,61)#观察点坐标\n",
    "    Gx=np.zeros(61,dtype=complex)\n",
    "    for i in range(61):\n",
    "        gg=0\n",
    "        for j in range(m): \n",
    "            R_x=x_g[i]-x_z[j]\n",
    "            R_y=y_g[i]-y_z[j]\n",
    "            P=math.sqrt(R_x**2+R_y**2)\n",
    "            gg=gg+y*g[j]*0.25j*k*hankel1(1,k*P)*(R_x*c[j][0]+R_y*c[j][1])/P\n",
    "        Gx[i]=gg+W[i]      \n",
    "    return Gx\n",
    "Gx=Jf(M,k)\n",
    "Gx=abs(Gx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 526,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.gca(projection='polar')\n",
    "plt.scatter(seta,Ga,c='y',marker='s')\n",
    "plt.plot(seta,Gx,c='r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
